Uniform difference method for parameterized singularly perturbed delay differential equations (Q1047167)
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scientific article; zbMATH DE number 5652339
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniform difference method for parameterized singularly perturbed delay differential equations |
scientific article; zbMATH DE number 5652339 |
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Uniform difference method for parameterized singularly perturbed delay differential equations (English)
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4 January 2010
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The authors consider a singularly perturbed initial value problem for a quasilinear first order delay differential equation depending on a parameter, and construct a numerical method for this problem which involves an appropriate piecewise-uniform meshes on each time subinterval. They prove the uniform convergence of this approximate solution in the discrete maximum norm, and give numerical experiments to support their theoretical results.
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delay differential equation
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parameterized problem
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singular perturbation
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piecewise-uniform mesh
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error estimates
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uniform difference method
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initial value problem
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quasilinear first order
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uniform convergence
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numerical experiments
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